class Solution:

    def searchMatrixCore(self, matrix, target, i, j):
        if i >= len(matrix) or j >= len(matrix[0]):
          return False
        if matrix[i][j] > target:
          return False
        elif matrix[i][j] == target:
          return True
        else:
          return self.searchMatrixCore(matrix, target, i+1, j) or self.searchMatrixCore(matrix, target, i, j+1)

    def searchMatrixCoreII(self, matrix, target, i, j):
        if i < 0 or j < 0:
          return False
        #print([i, j, matrix[i][j]],flush=True)
        if matrix[i][j] > target:
            return self.searchMatrixCoreII(matrix, target, i - 1, j) or self.searchMatrixCoreII(matrix, target, i,j - 1)
        elif matrix[i][j] == target:
          return True
        else:
            return False

    def searchRow(self,i,target,matrix):
        while matrix[0][i] < target:
            i+=1
            if i==len(matrix[0]):
                i-=1
                break
        return i

    def searchLine(self,j,target,matrix):
        j=0
        while matrix[j][0]<=target :
            j+=1
            if j==(len(matrix)):
                break
        return j-1

    def searchMatrix(self, matrix, target):
        """
        :type matrix: List[List[int]]
        :type target: int
        :rtype: bool
        """
        if len(matrix) == 0 or len(matrix[0])==0:
          return False
        i = self.searchLine(0, target, matrix)
        j = self.searchRow(0,target,matrix)
        #print([i,j,matrix[i][j]])
        return self.searchMatrixCoreII(matrix, target, i, j)

        # if l>=0:
        #     r = self.searchLine(0,l,target,matrix)
        #     # if matrix[r[0]][r[1]]==target:
        #     #   return True
        # return self.searchDiagonal(r[0],matrix,target)

sol = Solution()
# matrix = [
#     [1,   4,  7, 11, 15],
#     [2,   5,  8, 12, 19],
#     [3,   6,  9, 16, 22],
#     [10, 13, 14, 17, 24],
#     [18, 21, 23, 26, 30]
# ]
matrix = 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print(sol.searchMatrix(matrix, target=29184593))
